What is the Greatest Common Factor of 10179 and 10192?

Greatest common factor (GCF) of 10179 and 10192 is 13.

GCF(10179,10192) = 13

We will now calculate the prime factors of 10179 and 10192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10179 and 10192.

How to find the GCF of 10179 and 10192?

We will first find the prime factorization of 10179 and 10192. After we will calculate the factors of 10179 and 10192 and find the biggest common factor number .

Step-1: Prime Factorization of 10179

Prime factors of 10179 are 3, 13, 29. Prime factorization of 10179 in exponential form is:

10179 = 3³ × 13¹ × 29¹

Step-2: Prime Factorization of 10192

Prime factors of 10192 are 2, 7, 13. Prime factorization of 10192 in exponential form is:

10192 = 2⁴ × 7² × 13¹

Step-3: Factors of 10179

List of positive integer factors of 10179 that divides 10179 without a remainder.

1, 3, 9, 13, 27, 29, 39, 87, 117, 261, 351, 377, 783, 1131, 3393

Step-4: Factors of 10192

List of positive integer factors of 10192 that divides 10179 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 364, 392, 637, 728, 784, 1274, 1456, 2548, 5096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10179 and 10192. The biggest common factor number is the GCF number.
So the greatest common factor 10179 and 10192 is 13.

Also check out the Least Common Multiple of 10179 and 10192